The winning projects of the New Concordia Island Contest have been unveiled this past weekend. The international ideas competition aims to rethink the disaster of the wrecked cruise ship Costa Concordia as exceptional opportunity to imagine the future of the wreck and that of the Italian island of Giglio which has become the ship's new, permanent destination.
— bustler.net

Three of the four diagrams on the page linked above (middle of the page, scroll down) reflect what is being done to refloat the ship (as seen in the 60 Minutes piece). In the last stage, the welded-on sponson boxes are filled with air, raising the ship from the underwater platform, and the ship (with its "training wheels") is towed away.

The platform has 8' dia. legs, fitted to holes drilled in the underwater "mountain" of stone. More steel is used in this operation than is present in the Eiffel Tower -- three times as much ! An unbelievable salvage scenario. The fear is that the ship will slide off its underwater perch before the operation is completed . . .